Answers
Answer:
[tex]v = \frac{16}{3} \: \: and \: \: u = \frac{20}{3} [/tex]
Step-by-step explanation:
In triangle WYZ ,
[tex] {u}^{2} = {4}^{2} + {v}^{2} = 16 + {v}^{2} [/tex]
In traingle WXZ ,
[tex] {(3 + v)}^{2} = {5}^{2} + {u}^{2} [/tex]
Putting the value of U^2 in above eqn.
[tex] = > {(3 + v)}^{2} = 25 + (16 + {v}^{2} )[/tex]
[tex] = > {v}^{2} + 6v + 9 = 41 + {v}^{2} [/tex]
[tex] = > {v}^{2} - {v}^{2} + 6v = 41 - 9[/tex]
[tex] = > 6v = 32[/tex]
[tex] = > v = \frac{32}{6} = \frac{16}{3} [/tex]
Putting the value of V in eqn. below :-
[tex] {u}^{2} = 16 + { (\frac{16}{3} )}^{2} [/tex]
[tex] = > {u}^{2} = \frac{256}{9} + 16[/tex]
[tex] = > {u}^{2} = \frac{256 + 144}{9} = \frac{400}{9} [/tex]
[tex] = > u = \sqrt{ \frac{400}{9} } = \frac{20}{3} [/tex]
Related Questions
If R is the midpoint of TS, TR = 5x - 12, and RS = 3x + 8, find TS.
Answers
Answer:
5x -12 = 3x +8 (set the two = each other because they are the same length)
2x- 12= 8 (subtract 3x from both sides)
2x = 20 (add 12 to both sides)
x=10 (what x= for both expressions)
5(10) -12 (plug it into the first one to see what the length is and to see they're =
50 - 12 ( I already multiplied, now subtract)
38 (what the length of TR is)
3(10) +8 (plug it in again but into the other expression)
30+8 (multiply and add)
38 (the two have the same answer, so the x-value is correct.)
38+38= 76 (add the lengths of RS and TR and you get the length of TS)
Step-by-step explanation:
I hope this helps :)
Applying the segment addition theorem, the value of TS is: 76
Given:
TR = 5x - 12
RS = 3x + 8
If T is the midpoint of TS, therefore we would have the following equation:
TR = RS
Plug in the expressions5x - 12 = 3x + 8
Add like terms together5x - 3x = 12 + 8
2x = 20
Divide both sides by 2x = 10
TS = TR + RS (segment addition theorem)
SubstituteTS = 5x - 12 + 3x + 8
Plug in the value of xTS = 5(10) - 12 + 3(10) + 8
TS = 50 - 12 + 30 + 8
TS = 76
Learn more about segment addition theorem on:
https://brainly.com/question/1397818
At Carly's Pancake House there are 39 dirty coffee mugs and 21 clean coffee mugs. What
percentage of the coffee mugs at the pancake house are dirty?
Answers
Answer:
65%
Step-by-step explanation:
What you need to do is add both the clean and the dirty mugs together to get a total amount of mugs (60) and then divide 39 by 60 because you are dividing the mugs that you want to find the percentage of by the total amount of mugs. The equation would look like this:
39/60=0.65
therefore, the answer is 65%
What is h(p)=(p3+4p2-2) in distributive property
Answers
h
p
=
p
3
+
4
p
2
−
2
Step 1: Divide both sides by p.
h
p
p
=
p
3
+
4
p
2
−
2
p
h
=
p
3
+
4
p
2
−
2
p
Answer:
h
=
p
3
+
4
p
2
−
2
p
Solve the equation by completing the square.
x^2+18x=7
please show me how to also. :)
Answers
Answer:
x=-2[tex]\sqrt{x} 22 -9[/tex]
Step-by-step explanation:
Jason claims he has finished reading 25% of his book. If his book has 200 pages, how many pages has he read?
Answers
Answer:
Jason has read 50 pages.
Step-by-step explanation:
25% of 200 = 50
Remember "of" means multiply so you multiply 25% to 200
25% x 200
Convert 25% into a decimal
0.25 x 200 = 50
So Jason has read 50 pages.
Which is the graph of y – 3 = (-2/3)(x + 6)?
Answers
Answer:
The points are on (-1.5,0) and (0,-1)
Step-by-step explanation:
Hope this helps!
Brain-List?
Which triangles are congruent by SAS???
Answers
Answer:
Triangle VTU and ABC are congruent by SAS
Step-by-step explanation:
You can tell that these triangles are the same because the lines on the sides and angle are the same.
What is the LCF of 60 and 10 ?
Answers
Do you mean LCM
If you just want to know what is the least common multiple of 10 and 60, it is 60
Answer:
the lowest common factor is 5
Step-by-step explanation
5 can go into both 60 and 10, and thats the lowest that can go into both numbers because 5 times 2 is equal to 10 and 5 times 12 is equal to 60. hope this helps :)
Solve each equation.
a. 6x + 4 = 34
Answers
x=5
the answer is 5
Step-by-step explanation:
ans;
6x=34-4
6x=30
x=30/6
:x=5#
3x-4 or = to 7
plz help
Answers
Answer:
3 + 4 = 7 which is true.
Step-by-step explanation:
Whenever you have an equation with a plain variable (that is, no exponent included), there is only one number that will work when substituted for x.
To solve it, you have to "undo" what is done to the variable. You also go in the reverse order of operations, so you do the addition/subtract first, then multiplication/division.
You also have to do the same to both sides, kind of like keeping a balance scale in balance.
In this case, we subtract 4 from both sides first:
3x + 4 -4 = 7 - 4
The + 4 - 4 cancel each other out, so you get:
3x = 3
3x means "3 times x" so you divide by 3 to undo it. I will use the / to indicate division:
3x / 3 = 3 /3
so 1x = 1.
Since 1x is "1 times x" it is the same as x by itself, so:
x=1
AND, if we substitute 1 back into the original equation (the asterisk stands for multiply):
3 * 1 + 4 = 7
3 * 1 is 3, so:
3 + 4 = 7 which is true.
1 is the only number that works.
Hope this helped.
Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.
Answers
Answer:
C
Step-by-step explanation:
25 POINTS and brainliest
A function is shown. To the nearest whole number, what is the average rate of change of the function over the interval from x = 0 to x = 15? f(x) = 50,900(1.03)
Answers
Answer:
X=13
Step-by-step explanation:
Answer:
1893 or B
Step-by-step explanation:
To find the rate of change we divide the output value by the input values in this case
f(x) = 50,900(1.03)^0= 50900
f(x) = 50,900(1.03)^15= 79300
79300-50900=28400
So if we find the Rate of change by dividing the output value by the input value so we have 28400/15=1893 that is how you get your answer
5th grade math. Correct answer will be marked brainliest.
Answers
Answer:
i think its 7
Step-by-step
if the jeans were $3.50 and she bought 2 just do 3.50x2 and you will get 7
−5(3x − 39) = 2(x − 3) − 3
Answers
Answer:
x=12
Step-by-step explanation:
PLEASE HELP DUE IN 6 MINS!!!!!!!!!!!!!!!!!!!!!
Box of nails: $3.80
Box of screws:$5.25
Claw Hammer:$12.95
Electric Drill:$42.50
a.Write two expressions to represent the total cost of 3 boxes of nails, 2 boxes of screws, 2 hammers, and 1 electric drill.
b.What is the total cost of the items purchased?
Answers
Answer:
Step-by-step explanation:
a. 3n+2s+2h+1x=42.50
b. 90.3
Please help me thanks please
Answers
16^2 = 256
30^2 = 900
900+256 = 1156
square root of 1156 = 34
Hopes this helps you
Have a great day
Factor with the distributive property (no variables)
90+27=
Answers
Your answer is 9(10 + 3)
Tell me if you need an explanation
what reasons can be used to justify statement 4 in the proof above?
Answers
Answer:
its b
Step-by-step explanation:
i took da test
True or false
It is common for
basic savings accounts
to have interest rates
up to 35%.
Answers
Answer:
TRUE
i think
Step-by-step explanation:
Hope this helps!!
Which shows the numbers Nine-tenths, 0.3, 0.8, Five-tenths, and Two-tenths in order from least to greatest?
0.3, Five-tenths, Nine-tenths, Two-tenths, 0.8
Two-tenths, 0.3, Five-tenths, 0.8, Nine-tenths
Five-tenths, Two-tenths, 0.3, 0.8, Nine-tenths
Nine-tenths, 0.8, Five-tenths, 0.3, Two-tenths
Answers
Answer:
Step-by-step explanation:
Let's express all the given numbers as decimals:
nine tenths- 0.9
0.3
0.8
five tenths- 0.5
two tenths- 0.2
Ordering them from least to greatest:
two tenths, 0.3, five tenths, 0.8, nine tenths
Answer:
B is your answer
Step-by-step explanation:
The sum of 6 consecutive even numbers is 126
.
What is the fourth number in this sequence?
||EXTRA POINTS + BRAINLET||
Answers
6x+30=126
6x=96
X=16
Since x is the first number , x+6 is the fourth even number .
Thus, the fourth number in the sequence is 22
please help me out!!! i have to pass this test
Answers
Answer: 126!
Step-by-step explanation: I subtracted 180-54, because a triangle should always equal 180.
A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?
Answers
Answer:
131.18
Step-by-step explanation:
Hey I need help ASAP!
Identify the function shown in this graph
Answers
Answer:
The answer is B.
y=-5x + 3
Step-by-step explanation:
Hope this helps
Find the slope of 6x – 3y = 5
Answers
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
I need the answers to these questions ASAP, thank you in advance!
Answers
Answer:
1. sliver's gym
2. sliver's gym
3. fitness planet
4. fitness:345 to sliver: 185
Step-by-step explanation:
1. with zero months
fitness planet cost is C = 22(0)+15= 15
sliver's gym cost is C = 15(0)+5= 5
2. sliver's gym because the rate of change is slower than fitness, resulting in you paying less for monthly memberships
3. Fitness planet because the rate of change is higher meaning that you will pay more for the monthly memberships.
4. Fitness planet C = 22(12)+15 = 345
Sliver's gym C = 15(12)+15 = 185
In a bouquet of flowers, there are 7 daisies and 19 roses. Write the ration of daisies
to roses in three different ways.
A. 7 to 19, 7:19, 7/19
B.19 to 7, 19:7, 1977
C.7 to 19, 19:7, 1977
D.19 to 7, 7:19, 7/19
Answers
Answer:
A
Step-by-step explanation: : )
quick!! using y= 5x + 12 find the slope of a parallel line
Answers
Answer:
y=5x-10
Step-by-step explanation:
I don’t know the answer! Please help
Answers
Answer:
3x=4x-24, x=24, RST=72
I will be doing more 100 point free questions
In a recent survey 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl but another 3/16 admitted they would have preferred to use a straw instead of 39 of the Siamese cats gave one of these two answers how many were surveyed in total make sure your answer is fully reduced
Answers
Answer:
48 Siamese cats were surveyed
Step-by-step explanation:
Let x represent the total number of surveyed Siamese cats.
Since 5/8 of the Siamese cat said that they didn't mind having a lap up water from a bowl , hence:
Number of cats who lapped = (5/8)x
Also, 3/16 admitted they would have preferred to use a straw:
Number of cats who used straw = (3/16)x
Taking into consideration that 39 of the Siamese cats gave one of those two answers:
(5/8)x + (3/16)x = 39
(13 / 16)x = 39
x = 39 * 16 / 13
x = 48
48 Siamese cats were surveyed